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Finding the Third Proportional to 686,720 and 1,491,656.50

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Solution

The third proportional to 686,720 and 1,491,656.50 is: 3,240,096.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,720 : 1,491,656.50 = 1,491,656.50 : x
  2. Step 2: Convert to fraction form
    686,720/1,491,656.50 = 1,491,656.50/x
  3. Step 3: Cross multiply
    686,720x = 1,491,656.50 × 1,491,656.50
  4. Step 4: Simplify right side
    686,720x = 2,225,039,113,992.25
  5. Step 5: Solve for x
    x = 2,225,039,113,992.25/686,720
  6. Step 6: Final answer
    x = 3,240,096.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.